The Weights in MDS Codes

Details The Weights in MDS Codes The Weights in MDS Codes

2009-08-12

arxiv.org/abs/0908.1669v2

IEEE Transactions on Information Theory, vol. 57, no. 1, January 2011, pp. 392-396

Computer Science

Information Theory

5 pages, submitted to IEEE Trans. IT. This version 2 is the revised version after the refereeing process. Accepted for publica

Scientific paper

10.1109/TIT.2010.2090246

The weights in MDS codes of length n and dimension k over the finite field
GF(q) are studied. Up to some explicit exceptional cases, the MDS codes with
parameters given by the MDS conjecture are shown to contain all k weights in
the range n-k+1 to n. The proof uses the covering radius of the dual code

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